Saturday, 4 January 2025

pomega (12. 142)

Via Clive Thompson’s latest Link Fest, we are introduced to another chaotic twin of ฯ€ called ฯ–—from the above script variant of pi, also called varpi—that represents the transcendental mathematical constant ratio of the perimeter to the diameter of Bernoulli’s lemniscate, analogous to the way pi defines a circle. The foci of the elliptical plane are equidistant in this figure which has applications in orbital mechanics (see previously). The curve having a shape similar to a figure 8 or the infinity symbol, ♾️, is from the Latin for something bedecked with hanging ribbons and occur in nature as often as the perfect circle. Much more from John Carlos Baez at Mathsodon at the link above.